Search a number
-
+
8118240 = 2535131301
BaseRepresentation
bin11110111101111111100000
3120021110010120
4132331333200
54034240430
6450000240
7126001224
oct36757740
916243116
108118240
114645399
122876080
1318b31c0
141114784
15aa5610
hex7bdfe0

8118240 has 96 divisors (see below), whose sum is σ = 27560736. Its totient is φ = 1996800.

The previous prime is 8118239. The next prime is 8118251. The reversal of 8118240 is 428118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8118240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5590 + ... + 6890.

It is an arithmetic number, because the mean of its divisors is an integer number (287091).

Almost surely, 28118240 is an apocalyptic number.

8118240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780368).

8118240 is an abundant number, since it is smaller than the sum of its proper divisors (19442496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8118240 is a wasteful number, since it uses less digits than its factorization.

8118240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8118240 is about 2849.2525335603. The cubic root of 8118240 is about 200.9805183960.

The spelling of 8118240 in words is "eight million, one hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1301 1560 2080 2602 3120 3903 5204 6240 6505 7806 10408 13010 15612 16913 19515 20816 26020 31224 33826 39030 41632 50739 52040 62448 67652 78060 84565 101478 104080 124896 135304 156120 169130 202956 208160 253695 270608 312240 338260 405912 507390 541216 624480 676520 811824 1014780 1353040 1623648 2029560 2706080 4059120 8118240